Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 2Drawing Quadratic Graphs2 marks
For the curve y = x^2 + 2x + 9, work out y when x = 5.
- 3Speed and Density2 marks
A block has volume 125 cm^3 and density 4 g/cm^3. Work out its mass.
- 4Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 10 cm and angle 120°. Work out its area, to 1 decimal place.
- 5Conditional Probability3 marks
25 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
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